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- W2020404932 abstract "We study the dual descriptions recently discovered for the Seiberg–Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrödinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from the period integrals of the principal function corresponds to monodromy operation of the conformal block. We also give the instanton partition functions for the asymptotically free SU(2) gauge theories in the presence of the surface operator via the AGT relation. We find that these partition functions involve the counting of two- and four-dimensional instantons." @default.
- W2020404932 created "2016-06-24" @default.
- W2020404932 creator A5070502235 @default.
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- W2020404932 date "2010-12-01" @default.
- W2020404932 modified "2023-10-11" @default.
- W2020404932 title "Deformed prepotential, quantum integrable system and Liouville field theory" @default.
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- W2020404932 doi "https://doi.org/10.1016/j.nuclphysb.2010.08.008" @default.
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